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Magnetic Flux Density. A current Io flows in the closed contour circuit in the z = 0 plane shown in the figure below. Use the Biot-Savart Law to determine the magnetic flux density at the point (0,0,zo) on the z-axis.
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- The answer is already there, however, I need an explanation of why the answer is what it is.q10Solve step by step in digital format 1. Determine the magnitude of the attractive force experienced by two north and south magnetic monopoles of 80 Am and 30 Am respectively if they are separated from each other by a distance of 4 cm.
- A circular loop rotates at constant speed about an axle through the centerof the loop. Shown is an edge view and defines the angle Φ, which increases from 0° to 360° as the loop rotates.a. At what angle or angles is the magnetic flux a maximum?b. At what angle or angles is the magnetic flux a minimum?c. At what angle or angles is the magnetic flux changing most rapidly?Imagine that there is 0.8 A running through a metal (7.6 x1028 electrons/m3) wire with a square cross-sectional area of width 0.6 cm. We also place this wire into a uniform magnetic field, such that a potential difference of 6.5 x 10-8 V is across the wire (from one edge to the other, as we discussed in class on the Hall Effect). What is the magntiude of this magnetic field?Suppose B in a region of space centered on the origin has cylindrical symmetry and is given by B = B, ộ where Bo is a constant, and ô is the azimuthal direction in cylindrical coordinates. i) What is the current density in this region of space? ii) Suppose the current density that you found extends out to a radius R and is zero for r>R. What is the magnetic field for r > R?
- Consider a conducting ring of radius a and resistance R. Case I We first place the ring in a constant magnetic field B = shown in Figure 9. Bo pointing into the page as a) Calculate the magnetic flux through the ring. Express the answer in terms of the defined parameters in the problem.Q. Consider the configuration shown on the right, the inner cylindrical conductor of radius 'a' surrounded by a cylindrical shell of inner radius 'b' and outer radius 'c'. The inner conductor and the outer shell each carry equal and opposite currents I. Where I is uniformly distributed through the conductors. a I a) Find the magnetic field intensity for r< a and ae. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for rConsider two thin wires of length w with a uniform current I as shown in figure below. Determine the magnetic flux density B(F) at the point P(w,w,0). Show the direction of the magnetic flux density at the given point. W I Z W P(w,w,0) yA long straight wire is fixed in space and has current I. Draw the wire vertically with the current flowing upward. A square wire loop with side length s and resistance R is in the plane of the page and has its closest side a distance x away from the wire. Find the magnetic flux through the square HINT: The B-field depends on distance from the wire so you will have to integrate. The loop is pushed with velocity v toward the Find the rate of change of magnetic flux. HINT: Don't forget the chain rule. If f(x(t)) is a function of x and x is a function of t, then df/dt = (df/dx)(dx/dt) Find the current induced in the square Which direction is the current flowing? Explain with Lenz's Law Find the net magnetic force on theIn a certain region of empty space, Ez = at, where a is a constant, but Ey and Ex are constant in time. a. What is the magnitude and direction of the magnetic curl in this region in terms of a? b. Suppose that, in this particular case, B always points in the +y direction and is zero on the x = 0 plane. Find By as a function of t, x, y, and z. (Hint: the answer is By = Ɛ0μ0ax + C) c. Assume that a = 1000 (N/C) / s. What is the numerical rate at which By increases or decreases with increasing x at a given instant of time? Do the units make sense?SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
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